diff --git a/primitive_process/interface/subface/simple/cylinder_face.hpp b/primitive_process/interface/subface/simple/cylinder_face.hpp
index e6f2312..db04f78 100644
--- a/primitive_process/interface/subface/simple/cylinder_face.hpp
+++ b/primitive_process/interface/subface/simple/cylinder_face.hpp
@@ -34,7 +34,7 @@ template <>
 struct hasher<internal::cylinder_paired_model_matrix> {
     size_t operator()(const internal::cylinder_paired_model_matrix &block) const
     {
-        Eigen::Matrix<double, 2, 4> character_rows = block.data->world_to_local.matrix().topRows<2>();
+        Eigen::Matrix<double, 2, 4> character_rows = block.data->local_to_world.matrix().topRows<2>();
         return XXH3_64bits(character_rows.data(), sizeof(decltype(character_rows)));
     }
 };
diff --git a/primitive_process/interface/subface/simple/plane.hpp b/primitive_process/interface/subface/simple/plane.hpp
index 14acdb5..698d806 100644
--- a/primitive_process/interface/subface/simple/plane.hpp
+++ b/primitive_process/interface/subface/simple/plane.hpp
@@ -34,8 +34,11 @@ template <>
 struct hasher<internal::plane_paired_model_matrix> {
     size_t operator()(const internal::plane_paired_model_matrix &block) const
     {
-        Eigen::Vector4d character_row = block.data->world_to_local.matrix().row(0);
-        return XXH3_64bits(character_row.data(), sizeof(Eigen::Vector4d));
+        const auto& mat = block.data->local_to_world.matrix();
+        Eigen::Matrix<double, 3, 2> character_col;
+        character_col.col(0) = mat.col(0);
+        character_col.col(1) = mat.col(3);
+        return XXH3_64bits(character_col.data(), sizeof(Eigen::Matrix<double, 3, 2>));
     }
 };